Value Investing: Calculating Stock Value using Infinite Period Dividend Discount Model

Calculating Stock Value using Infinite Period Dividend Discount Model

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Question

You are going to hold a stock for an infinite amount of time. The current dividend is $1 per share and is expected to grow at 9% a year. Your long run required return is 13%. Using the infinite period dividend discount model calculate the value of the stock.

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A. B. C. D.

A

First determine D1, which is the next period dividend. In this case it should be $1.09. Next use the formula V = D1/(k - g) or V = $1.09/(0.13 - 0.09) = $27.25.

To calculate the value of the stock using the infinite period dividend discount model, we need to use the formula:

Value of stock = Dividend / (Required return - Dividend growth rate)

Given information: Current dividend = $1 per share Dividend growth rate = 9% Required return = 13%

Let's plug in the values into the formula:

Value of stock = $1 / (0.13 - 0.09)

Simplifying the expression:

Value of stock = $1 / 0.04

Value of stock = $25

However, none of the answer choices provided match this calculated value. It seems there might be a discrepancy between the provided options and the correct answer based on the calculation. Please double-check the answer choices or the provided information to ensure accuracy.